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Finding the Fourth Proportional to 7,440.50, 10,267.90 and 4,128.50

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Solution

The fourth proportional to 7,440.50, 10,267.90 and 4,128.50 is: 5,697.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440.50 : 10,267.90 = 4,128.50 : x
  2. Step 2: Convert to fraction form
    7,440.50/10,267.90 = 4,128.50/x
  3. Step 3: Cross multiply
    7,440.50x = 10,267.90 × 4,128.50
  4. Step 4: Simplify right side
    7,440.50x = 42,391,025.15
  5. Step 5: Solve for x
    x = 42,391,025.15/7,440.50
  6. Step 6: Final answer
    x = 5,697.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.